From the given information in the question, the correct option is Option 1: 14 cm.
A non-stretched elastic spring has a conserved potential energy which gives it the ability to perform work. The elastic potential energy can be expressed as:
PE = 
k 
Where PE is the energy, k is the spring constant and x is extension.
i. Given that: PE = 10 J and x = 10 cm, then;
PE = k
10 = k 
20 = 100k
k = 0.2 J/cm
ii. To determine how far the spring is needed to be stretched, given that PE = 20 J.
PE = k
20 = (0.2)
40 = 0.2
= 200
x = 
= 14.1421
x = 14.14 cm
So that;
x is approximately 14.00 cm.
Thus, the spring need to be stretched to 14.00 cm to give the spring 20 J of elastic potential energy.
For more information, check at: brainly.com/question/1352053.
Sorry I don’t know the exact answer
Answer:
Explanation:
According to “Newton's second law”
“Force” is “mass” times “acceleration”, or F = m× a. This means an object with a larger mass needs a stronger force to be moved along at the same acceleration as an object with a small mass
Force = mass × acceleration
Given that,
Mass = 5.32 kg
F = 12.7N
Normal force = mg + F sinx,
“m” being the object's "mass",
“g” being the "acceleration of gravity",
“x” being the "angle of the cart"
To find normal force substitute the values in the formula,
Normal force = 5.32 × 9.8 + 12.7 × sin(-28.7)
Normal force = 52.136 + 12.7 × 0.480
Normal force = 52.136 + 6.096
Normal force = 58.232 N
<u>Acceleration of the cart</u>:
The initial speed of the vehicle before the collision is 8 m/s.
- Let the mass of the vehicle = m
- Let the initial speed of the vehicle stopped = u
- The initial speed of the vehicle parked at the red light = 0
<h3>Principle of conservation of linear momentum</h3>
- The initial speed of the vehicle before the collision is calculated by applying principle of conservation of linear momentum as follows;
Thus, the initial speed of the vehicle before the collision is 8 m/s.
Learn more about inelastic collision here: brainly.com/question/7694106
Answer:
Explanation:
From the question we are told that
Diameter of the cylinder 
Length of the cylinder 
Surface temperature of cylinder 
Speed of air 
Temperature of air 
Generally the equation for Reynolds number is mathematically given by
where
Generally the equation for Nusselt number is mathematically given by
where
Prandtl number
Generally the equation for convective heat transfer is mathematically given by
where
Generally the equation for surface area of a cylinder is mathematically given by
Generally the equation for convective heat transfer is mathematically given by
